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Finding the Fourth Proportional to 14,000.82, 21,005.73 and 4,140.18

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Solution

The fourth proportional to 14,000.82, 21,005.73 and 4,140.18 is: 6,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.82 : 21,005.73 = 4,140.18 : x
  2. Step 2: Convert to fraction form
    14,000.82/21,005.73 = 4,140.18/x
  3. Step 3: Cross multiply
    14,000.82x = 21,005.73 × 4,140.18
  4. Step 4: Simplify right side
    14,000.82x = 86,967,503.23
  5. Step 5: Solve for x
    x = 86,967,503.23/14,000.82
  6. Step 6: Final answer
    x = 6,211.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.